131370 has 32 divisors (see below), whose sum is σ = 328320. Its totient is φ = 33600.

The previous prime is 131363. The next prime is 131371. The reversal of 131370 is 73131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131370.

It is not an unprimeable number, because it can be changed into a prime (131371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2¹³¹³⁷⁰ is an apocalyptic number.

131370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160).

131370 is an abundant number, since it is smaller than the sum of its proper divisors (196950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131370 is a wasteful number, since it uses less digits than its factorization.

131370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 131370 is about 362.4499965512. The cubic root of 131370 is about 50.8353010675.

The spelling of 131370 in words is "one hundred thirty-one thousand, three hundred seventy".